{
  "abstract": "In this article, we describe a new maximal function field $G$ over the finite field $\\mathbb{F}_{11^2}$ with $11^2$ elements and show that it cannot be obtained as a subfield of the Hermitian function field. This provides the first known $\\mathbb{F}_{p^2}$-maximal function field that satisfies this property. Further, we compute the automorphism group of $G$. The new maximal function field was found using AI.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11679",
  "author_total": 3,
  "authors": [
    {
      "name": "Peter Beelen"
    },
    {
      "name": "Maria Montanucci"
    },
    {
      "name": "Jonathan Niemann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6ab5w529g0e0f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11679",
  "fulltext_url": null,
  "id": "6ab5w529g0e0f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11679",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.11679",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6ab5w529g0e0f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.11679",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11679"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A maximal function field of genus $17$ over $\\mathbb{F}_{11^2}$",
  "title_text": "A maximal function field of genus $17$ over 𝔽_11^2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/6ab5w529g0e0f",
  "venue": "arXiv",
  "versions": []
}